As SSC CHSL notification is out and candidates have started their preparation for this exam. Mahendras also has started special quizzes for this examination. This series of the quizzes are based on the latest pattern of the SSC CHSL examination. Regular practice of the questions included in the quizzes will boost up your preparations and it will be very helpful in scoring good marks in the examination.
Q. 1. The ratio between the two numbers is 3 : 4. The sum of the one - fourth of square of smaller number and half of the square of larger number is 1476. Find the value of the cube root of the product of the numbers.
рджो рд╕ंрдЦ्рдпाрдУं рдоें рдЕрдиुрдкाрдд 3 : 4 рд╣ै | рдЫोрдЯी рд╕ंрдЦ्рдпा рдХे рд╡рд░्рдЧ рдХे рдПрдХ рдЪौрдеाрдИ рдФрд░ рдмреЬी рд╕ंрдЦ्рдпा рдХे рд╡рд░्рдЧ рдХे рдЖрдзे рдХा рдпोрдЧ 1476 рд╣ै | рд╕ंрдЦ्рдпाрдУं рдХे рдЧुрдгрдирдлрд▓ рдХा рдШрдирдоूрд▓ рдЬ्рдЮाрдд рдХीрдЬिрдпे |
(A) 12
(B) 13
(C) 14
(D) 16
Q. 2. If 4 men or 6 women can do a piece of work in 12 days working 7 hours a day; how many days will it take to complete a work twice as large with 10 men and 3 women working together 8 hours a day?
рдпрджि 4 рдкुрд░ूрд╖ рдпा 6 рд╕्рдд्рд░िрдпां рдПрдХ рдХाрд░्рдп 7 рдШंрдЯे рдХाрд░्рдп рдХрд░рдХे 12 рджिрдиों рдоें рдХрд░ рд╕рдХрддे рд╣ैं। рддрджुрдиुрд╕ाрд░, рдЙрд╕ी рдХाрд░्рдп рдХा рджुрдЧрдиा рд╣ोрдиे рдкрд░ 10 рдкुрд░ूрд╖ рдФрд░ 3 рдорд╣िрд▓ाрдПं 8 рдШंрдЯे рдк्рд░рддिрджिрди рдХाрд░्рдп рдХрд░рдХे рдХिрддрдиे рджिрдиों рдоें рдкूрд░ा рдХрд░ рд╕рдХेंрдЧे?
(A) 14
(B) 12
(C) 9
(D) 7
Q. 3. The profit earned by selling an article for Rs. 2180 is equal to the loss incurred by selling the same article for Rs. 1420. At what price should the article be sold to make 30% profit?
рдПрдХ рд╡рд╕्рддु рдХो 2180 рд░ुрдкрдпे рдоें рдмेрдЪрдиे рдкрд░ рдЕрд░्рдЬिрдд рд▓ाрдн, рдЙрд╕ी рд╡рд╕्рддु рдХो 1420 рд░ु. рдоें рдмेрдЪрдиे рдкрд░ рд╣ुрдИ рд╣ाрдиि рдХे рдмрд░ाрдмрд░ рд╣ै। 30% рд▓ाрдн рдк्рд░ाрдк्рдд рдХрд░рдиे рд╣ेрддु рд╡рд╕्рддु рдХो рдХिрд╕ рдоूрд▓्рдп рдкрд░ рдмेрдЪрдиा рдЪाрд╣िрдП ?
(A) Rs. 2540
(B) Rs. 2450
(C) Rs. 2340
(D) Rs. 2350
Q. 4. The parallel sides of a trapezium are 12 and 16 cm. and the perpendicular distance between them is 8 cm. find the area of trapezium?
рдПрдХ рд╕рдорд▓рдо्рдм рдЪрддुрд░्рднुрдЬ рдХी рд╕рдоाрди्рддрд░ рднुрдЬाрдпें 12 рдФрд░ 16 рд╕ेрдоी. рд╣ै, рдФрд░ рдЙрдирдХे рдмीрдЪ рдХी рд▓рдо्рдмрд╡рдд рджूрд░ी 8 рд╕ेрдоी. рд╣ै। рд╕рдорд▓рдо्рдм рдЪрддुрд░्рднुрдЬ рдХा рдХ्рд╖ेрдд्рд░рдлрд▓ рдЬ्рдЮाрдд рдХीрдЬिрдП ।
(A) 96 cm.2/ рд╕ेрдоी.2
(B) 109 cm.2/ рд╕ेрдоी.2
(C) 112 cm.2/ рд╕ेрдоी.2
(D) 128 cm.2/ рд╕ेрдоी.2
Q. 5. If m : n = 2 : 3, then the value [(3m + 5n)/ (6m – n)] is equal to-
рдпрджि m : n = 2 : 3, рддो [(3m + 5n)/ (6m – n)] рдХा рдоाрди рдмрд░ाрдмрд░ рд╣ै-
(A) 3/7
(B) 7/3
(C) 5/3
(D) 3/5
Q. 6. A shopkeeper allows two successive discounts on an article whose marked price is Rs. 150 and selling price is Rs. 105. What is first discount if second discount is 12.5%?
рдПрдХ рджुрдХाрдирджाрд░ рдХिрд╕ी рд╡рд╕्рддु рдкрд░ рджो рдХ्рд░рдоिрдХ рдЫूрдЯ рджेрддा рд╣ै। рдЬिрд╕рдХा рдЕंрдХिрдд рдоूрд▓्рдп 150 рд░ूрдкрдпे рд╣ै। рдФрд░ рд╡िрдХ्рд░рдп рдоूрд▓्рдп 105 рд░ूрдкрдпे рд╣ैं рдпрджि рджूрд╕рд░ी рдЫूрдЯ 12.5% рд╣ो рддो рдкрд╣рд▓ी рдЫूрдЯ рдХ्рдпा рд╣ै?
(A) 25%
(B) 17.5%
(C) 20%
(D) 16.67%
Q. 7. A bank gives compound interest on deposits at the rate of 5% for the first year, 6% for the second year and 10% for the third year. If a deposit amounts to Rs. 12243 at the end of third year, then the initial deposit (principal) was
рдПрдХ рдмैंрдХ рдЬрдоा рд░ाрд╢ि рдкрд░ рдк्рд░рдердо рд╡рд░्рд╖ рдХे рд▓िрдП 5%, рджूрд╕рд░े рд╡рд░्рд╖ рдХे рд▓िрдП 6% рдФрд░ рддीрд╕рд░े рд╡рд░्рд╖ рдХे рд▓िрдП 10% рдХी рджрд░ рдкрд░ рдЪрдХ्рд░рд╡ृрдж्рдзि рдм्рдпाрдЬ рджेрддा рд╣ै । рдпрджि рдЬрдоा рд░ाрд╢ि рддीрд╕рд░े рд╡рд░्рд╖ рдХे рдЕंрдд рдоें рд░ु. 12243 рд╣ो, рддो рдк्рд░ाрд░рдо्рднिрдХ рдЬрдоा (рдоूрд▓) рд░ाрд╢ि рдХिрддрдиी рдеी –
(A) Rs. 11500
(B) Rs. 10000
(C) Rs. 10500
(D) Rs. 11000
Q. 8. Two coins are tossed simultaneously. The probability of getting exactly one tail is
рджो рд╕िрдХ्рдХे рдПрдХ рд╕ाрде рдЙрдЫाрд▓े рдЧрдП рд╣ैं । рдаीрдХ рдПрдХ рдкुрдЪ्рдЫ рдЖрдиे рдХी рдк्рд░ाрдпिрдХрддा рд╣ै
(A) 1
(B) 0
(C) 1/2
(D) 3/4
Q. 9. A and B are friends and B is 2 years younger than A. A's father D is twice as old as A and B is twice as his sister C. The age of D and C differ by 40 years. The ages of A's and 'B' are respectively.
A рдФрд░ B рджो рдоिрдд्рд░ рд╣ैं рдФрд░ A рд╕े B рджो рд╡рд░्рд╖ рдЫोрдЯा рд╣ै । A рдХे рдкिрддा D рдХी рдЖрдпु A рд╕े рджोрдЧुрдиी рд╣ै рдФрд░ B рдХी рдЖрдпु рдЕрдкрдиी рдмрд╣рди C рд╕े рджोрдЧुрдиी рд╣ै । D рдФрд░ C рдХी рдЖрдпु рдоें 40 рд╡рд░्рд╖ рдХा рдЕрди्рддрд░ рд╣ै । A рдФрд░ B рдХी рдЖрдпु рдХ्рд░рдорд╢ः рд╣ैं
(A) 26 years/ рд╡рд░्рд╖, 28 years/ рд╡рд░्рд╖
(B) 25 years/ рд╡рд░्рд╖, 23 years/ рд╡рд░्рд╖
(C) 30 years/ рд╡рд░्рд╖, 28 years/ рд╡рд░्рд╖
(D) 26 years/ рд╡рд░्рд╖, 24 years/ рд╡рд░्рд╖
Q. 10. Raja took 1 hour to travel 2/5 of a journey. He then took another 1 hour to travel the next 1/5 of the journey. He spent 45 minutes to travel the remaining 220 km. Find the distance he travelled in the whole journey.
рд░ाрдЬा рдиे рдпाрдд्рд░ा рдХा 2/5 рднाрдЧ рдкूрд░ा рдХрд░рдиे рдоें 1 рдШंрдЯे рдХा рд╕рдордп рд▓िрдпा । рдЙрд╕рдХे рдмाрдж 1/5 рднाрдЧ рдкूрд░ा рдХрд░рдиे рдоें рдФрд░ 1 рдШंрдЯे рдХा рд╕рдордп рд▓िрдпा । рд╢ेрд╖ 220 рдХिрдоी. рдХी рдпाрдд्рд░ा рдХрд░рдиे рдоें 45 рдоिрдирдЯ рдХा рд╕рдордп рд▓िрдпा । рдЙрд╕рдХे рдж्рд╡ाрд░ा рдХी рдЧрдпी рдкूрд░ी рдпाрдд्рд░ा рдХी рджूрд░ी рдЬ्рдЮाрдд рдХीрдЬिрдпे ।
(A) 550 km. / рдХिрдоी.
(B) 220 km. / рдХिрдоी.
(C) 330 km. / рдХिрдоी.
(D) 440 km. / рдХिрдоी.
Answer key:
1. Sol. (A)
Larger number/ рдмреЬी рд╕ंрдЦ्рдпा = 3x
Smaller number/ рдЫोрдЯी рд╕ंрдЦ्рдпा = 4x
[{(3x)2/ 4} + {(4x)2/ 2}] = 1476
[9x2/ 4} + {16x)2/ 2}] = 1476
41x2/ 4 = 1476
x2 = (1476 × 4)/ 41 = 144
x = 12
Product of numbers/ рд╕ंрдЦ्рдпाрдУं рдХा рдЧुрдгрдирдлрд▓ = 3x × 4x = 12x2
= 12 × 122 = 1728
Cube root of the product of the numbers/ рд╕ंрдЦ्рдпाрдУं рдХे рдЧुрдгрдирдлрд▓ рдХा рдШрдирдоूрд▓ = 12
2. Sol. (D)
4M = 6W
2M = 3W
4 × 12 × 7 × 2 = 12 × D × 8
D = 7
3. Sol. (C)
C.P. of the article / рд╡рд╕्рддु рдХा рдХ्рд░рдп рдоूрд▓्рдп = (2180 + 1420)/ 2 = Rs.1800
Required S.P. / рдЕрднीрд╖्рдЯ рд╡िрдХ्рд░рдп рдоूрд▓्рдп = 130% of 1800/1800 рдХा 130% = Rs.2340
4. Sol. (C)
Area of trapezium = (1/2) × [(12 + 16) × 8] = 112 cm.2/ рд╕ेрдоी.2
5. Sol. (B)
m : n = 2 : 3
[(3m + 5n)/ (6m – n)] = [{3 × (2/3) + 5}/ {6 × (2/3) – 1}] = 7/3
6. Sol. (C)
Let first discount be x%. / рдоाрдиा рдкрд╣рд▓ी рдЫूрдЯ x% рд╣ै ।
105 = 150 × {(100 – 12.5)/ 100} × {(100 – x)/ 100}
10500 = 15 × 875 × (100 – x)
80 = 100 – x
x = 100 – 80 = 20%
7. Sol. (B)
12243 = P × (105/100) × (106/100) × (110/100)
P = (12243 × 100 × 100 × 100)/ (105 × 106 × 110)
P = Rs. 10000
8. Sol. (C)
P (Exactly one tail/ рдПрдХ рдкुрдЪ्рдЫ рдХी рдк्рд░ाрдпिрдХрддा) = 2/4 = ½
9. Sol. (D)
A – B = 2 ... (i)
D = 2A ... (ii)
B = 2C ... (iii)
D – C = 40
2A – (1/2) B = 40
4A – B = 80 ... (i)
From (i) and (ii), we get/(i) рдФрд░ (ii) рд╕े, рд╣рдо рдк्рд░ाрдк्рдд рдХрд░рддे рд╣ैं
A = 26, B = 24
10. Sol. (A)
Remaining distance/ рд╢ेрд╖ рджूрд░ी = 1 – (1/5 + 2/5) = 1 – 3/5 = 2/5
2/5 = 220
1 = 550 km. / рдХिрдоी.
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MAHENDRA GURU