**1. If K is the smallest prime number greater than 21 and L is the largest prime number less than 16. Then value of KL is-**

**A. 299**

B. 323

C. 330

D. 345

**(K= 23 and L= 13**

**23× 13 = 299)**

**2. The total number of digits used in numbering the pages of book having 265 pages-**

A. 684

**B. 687**

C. 549

D. 976

**(Pages having number 1-9 = 9**

**Pages having number 10- 99 = 90 × 2= 180**

**Pages having number 100- 265= 166 ×3= 498**

**9+180+498= 687)**

**3. Value of (1-1/3) (1-1/4) (1-1/5)………………..(1-1/25) is-**

A. 1/25

B. 2/50

C. 6/20

**D. 2/25**

**(2/3 × 3/4× 4/5×………….24/25**

**∴ 2/25 ans)**

**4. The least among the rational numbers:**

13/14, 25/26, 17/18, 56/57 is-

A. 25/26

B. 17/18

**C. 13/14**

D. 56/57

**(Since, In all the fractions the difference between the num and den is 1**

**∴ smallest the num , smallest the fraction…i.e 13/14)**

**5. Four metal rods of length 78 cm, 104 cm, 117 cm and 169 cm are to be cut into parts of equal length. Each part must be as long as possible. What is the maximum number of pieces that can be cut?**

A. 34

**B. 36**

C. 89

D. 43

**(taking H.C.F of 78, 104,117 and 169 we get the remainder 6, 8,9 and 13**

**After adding it: 6+8+9+13=36 ans)**

**6. In order to pass an exam Niti is required to get 780 marks out of the aggregate Niti got 728 marks and declared failed 5%. What is the maximum aggregate marks a student can get in the examination-**

**A. 1040**

B. 1678

C. 1547

D. 1254

**(780- 728 = 52 i.e equals to 5%**

**5% = 52 marks**

**100% = 52/5 × 100 = 1040 )**

**7. A girl was asked to multiply a number by 8/7 instead she divided the number by 7/8 and got the result 15 more than the correct result. The sum of the digits of the number was-**

A. 5

B. 8

C. 9

**D. 11**

**(8x/7 = 7x/ 8 + 15**

**8x/7 – 7x/8 = 15**

**By solving it , x = 56**

**5+6 = 11)**

**8. A group of 1200 army persons consisting of captains and soldiers is travelling in a train. For every 15 soldiers there is one captain. The number of captains in the given group is-**

A. 90

B. 68

**C. 75**

D. 80

**( In 1 group = 15 soldiers + 1 captain i.e 16 person**

**∴ 1200/16 = 75 groups = 75 captains.)**

**9. How many numbers lie between 300 and 400 in which 4 comes only once-**

A. 19

**B. 18**

C. 10

D. 16

**(The numbers are: 304, 314, 324, 334, 340, 341, 342, 343, 345, 346, 347, 348, 349, 354, 364, 374, 384, 394)**

**10. L.C.M of two numbers is 28 times of their H.C.F and sum of L.C.M and H.C.F is 1740. If one of the number is 240, then another number is-**

A. 450

B. 550

C. 560

**D. 420**

**( L.C.M =28 H.C.F**

**L.C.M + H.C.F = 1740**

**28H.C.F + H.C.F = 1740**

**H.C.F = 1740/29 =60**

**L.C.M = 28 × 60 = 1680**

**∴ 60 × 1680 = 240 × x**

**X = (60×1680)/240 = 420 ans)**